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Existence of Fixed Points for a Class of Decreasing Operators with Parameter and Applications

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  • Xingchang Li
  • Shiqin Tian
  • Ji Gao

Abstract

This paper studies the existence of fixed points for a class of decreasing operators with parameter in real Banach spaces. The existence theorems of fixed point are obtained as when the parameter is increasing, there will still be a large fixed point. These results have reduced the requirements of convexity, compactness, and lattice structure of spaces. By this new method, the existence of solutions for a class of second-order differential equations with parameter in infinite intervals is studied.

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  • Xingchang Li & Shiqin Tian & Ji Gao, 2022. "Existence of Fixed Points for a Class of Decreasing Operators with Parameter and Applications," Journal of Mathematics, Hindawi, vol. 2022, pages 1-5, June.
    • Handle: RePEc:hin:jjmath:4861344
    DOI: 10.1155/2022/4861344
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